Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. time since start(min) 0 15 30 45 60 75 90 speed(mph) 12 11 10 10 8 7 0 a. assuming that rogers speed is never increasing, give upper and lower estimates for the distance roger ran during the first half hour b. give upper and lowe estimates for the distance roger ran in total during the entire hour and a half.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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13. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop.

time since start(min) 0 15 30 45 60 75 90
speed(mph) 12 11 10 10 8 7 0

a. assuming that rogers speed is never increasing, give upper and lower estimates for the distance roger ran during the first half hour

b. give upper and lowe estimates for the distance roger ran in total during the entire hour and a half.

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